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Finding the Fourth Proportional to 1,298.52, 1,948.06 and 421.07

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Solution

The fourth proportional to 1,298.52, 1,948.06 and 421.07 is: 631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.52 : 1,948.06 = 421.07 : x
  2. Step 2: Convert to fraction form
    1,298.52/1,948.06 = 421.07/x
  3. Step 3: Cross multiply
    1,298.52x = 1,948.06 × 421.07
  4. Step 4: Simplify right side
    1,298.52x = 820,269.62
  5. Step 5: Solve for x
    x = 820,269.62/1,298.52
  6. Step 6: Final answer
    x = 631.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.